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35380 = 2252961
BaseRepresentation
bin1000101000110100
31210112101
420220310
52113010
6431444
7205102
oct105064
953471
1035380
1124644
1218584
1313147
14cc72
15a73a
hex8a34

35380 has 24 divisors (see below), whose sum is σ = 78120. Its totient is φ = 13440.

The previous prime is 35363. The next prime is 35381. The reversal of 35380 is 8353.

35380 = T131 + T132 + ... + T134.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 35344 = 6^2 + 188^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35381) by changing a digit.

35380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

235380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

35380 is an abundant number, since it is smaller than the sum of its proper divisors (42740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35380 is a wasteful number, since it uses less digits than its factorization.

35380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 35380 is about 188.0957203128. The cubic root of 35380 is about 32.8286186868.

Multiplying 35380 by its sum of digits (19), we get a triangular number (672220 = T1159).

The spelling of 35380 in words is "thirty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 3538 7076 8845 17690 35380